Solve the following system of equations: `5/(x-1)+1/(y-2)=2,\ \ \ \ 6/(x-1)-3/(y-2)=1`

Solve the following system of equations: (5)/(x-1)+(1)/(y-2)=2,quad (6)/(x-1)-(3)/(y-2)=1

Solve the following system of equations: 1/(7x)+1/(6y)=3,\ \ \ 1/(2x)-1/(3y)=5

Solve the following system of equations: 5/(x+1)-2/(y-1)=1/2,\ \ \ (10)/(x+1)+2/(y-1)=5/2 , where x!=-1 and y!=1

Solve the following system of equations: 3/(x+y)+2/(x-y)=2,\ \ \ \ 9/(x+y)-4/(x-y)=1

Solve the following system of equations: 1/(2x)+1/(3y)=2,\ \ \ 1/(3x)+1/(2y)=(13)/6

Solve the following system of equations: 3/x-1/y=-9,\ \ \ 2/x+3/y=5

Solve the following simultaneous equations: 5/(x-1)+1/(y-2)=2,6/(x-1)-3/(y-2)=1

Solve the following pair of equations: 5/(x-1)+1/(y-2)=2, 6/(x-1)-3/(y-2)=1

Solve the following system of equations: 1/(3x+y)+1/(3x-y)=3/4,\ \ \ \ 1/(2(3x+y))-1/(2(3x-y))=-1/8

Solve the following system of equations: (3)/(x)-(1)/(y)=-9,quad (2)/(x)+(3)/(y)=5